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log(5)125 =

log(5) 5^(3) =

3log(5) 5 =

3 (1) = 3

Remember for any log base if the coefficient is the same as the base then the answer is '1'

Hence

log(10)10 = 1

log(a) a = 1

et.seq.,

You can convert the log base '5' , to log base '10' for ease of the calculator.

Log(5)125 = log(10)125/log(10)5

Hence

log(5)125 = log(10) 5^(3) / log(10)5 =>

log(5)125 = 3log(10)5 / log(10)5

Cancel down by 'log(10)5'.

Hence

log(5)125 = 3

NB one of the factors of 'log' is log(a) a^(n)

The index number of 'n' can be moved to be a coefficient of the 'log'.

Hence

log(a) a^(n) = n*log(a)a

Hope that helps!!!!!

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lenpollock

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Q: What is log base 5of 125?
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What is the log of 125?

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